Solve the dual of the following L.P problem by simplex method. Hence find the solution of the primal using complimentary slackness conditions.
Minimize Z = 4X1 - 5X2 - 2X3
Subject to 6X1 + X2 - X3 ≤ 5
2X1 + 2X2 - 3X3 ≥ 3
2X2 - 4X3 ≥ 1
X1 ≤ 0, X3 ≥ 0, X2 unrestricted.
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